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Evaluate the surface integral [ f(x,y,z) ds using a parametric description of the surface. S f(x,y,z) = 4x² + 4y², where S is the hemisphere x² + y² + z² = 4, for z ≥ 0 Write a parametric description of the given hemisphere using up and v=0. r(u,v) = where Osus (Type exact answers.) The value of the surface integral is (Type an exact answer.) andsvs and

Evaluate the surface integral [ f(x,y,z) ds using a parametric description of the surface. S f(x,y,z) = 4x² + 4y², where S is the hemisphere x² + y² + z² = 4, for z ≥ 0 Write a parametric description of the given hemisphere using up and v=0. r(u,v) = where Osus (Type exact answers.) The value of the surface integral is (Type an exact answer.) andsvs and

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 5ECP: Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle...
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Evaluate the surface integral [ f(x,y,z) ds using a parametric description of the surface. S f(x,y,z) = 4x² + 4y², where S is the hemisphere x² + y2 + z² = 4, for z ≥ 0 Write a parametric description of the given hemisphere using up and v=0. r(u,v) = where Osus and ≤vs (Type exact answers.) The value of the surface integral is (Type an exact answer.)
Transcribed Image Text:Evaluate the surface integral [ f(x,y,z) ds using a parametric description of the surface. S f(x,y,z) = 4x² + 4y², where S is the hemisphere x² + y2 + z² = 4, for z ≥ 0 Write a parametric description of the given hemisphere using up and v=0. r(u,v) = where Osus and ≤vs (Type exact answers.) The value of the surface integral is (Type an exact answer.)
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